A. Standard Form
- Ax + By = C
- A, B, C are integers (positive or negative whole numbers)
- No fractions nor decimals in standard form.
- Traditionally the "Ax" term is positive.
B. How to Write the Equation into Standard Form When Given an Equation
- If there are fractions:
- Multiply each term in the equation by the LCD.
- Add or subtract to get “x” and “y” on the same side and the number term on the opposite side.
- If there are decimals:
- Multiply each term in the equation by 10, 100, 1000, etc.
- Add or subtract to get “x” and “y” on the same side and the number term on the opposite side.
- If there are no fractions nor decimals:
- Add or subtract to get “x” and “y” on the same side and the number term on the opposite side.
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D. How to Write the Equation into Standard Form When Given Two Points on the Line
- Find the slope using the formula.
- Write the equation into y = mx + b using y - k = m (x - h).
- Change the equation into standard form Ax + By = C.
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